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Finding the Fourth Proportional to 442,529.20, 610,511.88 and 256,138.06

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Solution

The fourth proportional to 442,529.20, 610,511.88 and 256,138.06 is: 353,367.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,529.20 : 610,511.88 = 256,138.06 : x
  2. Step 2: Convert to fraction form
    442,529.20/610,511.88 = 256,138.06/x
  3. Step 3: Cross multiply
    442,529.20x = 610,511.88 × 256,138.06
  4. Step 4: Simplify right side
    442,529.20x = 156,375,328,550.15
  5. Step 5: Solve for x
    x = 156,375,328,550.15/442,529.20
  6. Step 6: Final answer
    x = 353,367.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.